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2542603188 = 223299775323
BaseRepresentation
bin1001011110001101…
…0000101110110100
320120012100121212110
42113203100232310
520201401300223
61100144451020
7120002525166
oct22743205664
96505317773
102542603188
111095262454
125ab619a70
133169c7b38
141a1980936
15ed343d93
hex978d0bb4

2542603188 has 48 divisors (see below), whose sum is σ = 6200671680. Its totient is φ = 809862144.

The previous prime is 2542603187. The next prime is 2542603207. The reversal of 2542603188 is 8813062452.

2542603188 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542603187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3906 + ... + 71417.

It is an arithmetic number, because the mean of its divisors is an integer number (129180660).

Almost surely, 22542603188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542603188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100335840).

2542603188 is an abundant number, since it is smaller than the sum of its proper divisors (3658068492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2542603188 is a wasteful number, since it uses less digits than its factorization.

2542603188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75456 (or 75454 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2542603188 is about 50424.2321508221. The cubic root of 2542603188 is about 1364.8749478215.

The spelling of 2542603188 in words is "two billion, five hundred forty-two million, six hundred three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 97 116 174 194 291 348 388 582 1164 2813 5626 8439 11252 16878 33756 75323 150646 225969 301292 451938 903876 2184367 4368734 6553101 7306331 8737468 13106202 14612662 21918993 26212404 29225324 43837986 87675972 211883599 423767198 635650797 847534396 1271301594 2542603188